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Finding the Fourth Proportional to 504,971.29, 697,112.90 and 314,046.19

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Solution

The fourth proportional to 504,971.29, 697,112.90 and 314,046.19 is: 433,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,971.29 : 697,112.90 = 314,046.19 : x
  2. Step 2: Convert to fraction form
    504,971.29/697,112.90 = 314,046.19/x
  3. Step 3: Cross multiply
    504,971.29x = 697,112.90 × 314,046.19
  4. Step 4: Simplify right side
    504,971.29x = 218,925,650,244.85
  5. Step 5: Solve for x
    x = 218,925,650,244.85/504,971.29
  6. Step 6: Final answer
    x = 433,540.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.